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Finding the Fourth Proportional to 1,888.64, 2,605.44 and 1,180.04

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Solution

The fourth proportional to 1,888.64, 2,605.44 and 1,180.04 is: 1,627.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.64 : 2,605.44 = 1,180.04 : x
  2. Step 2: Convert to fraction form
    1,888.64/2,605.44 = 1,180.04/x
  3. Step 3: Cross multiply
    1,888.64x = 2,605.44 × 1,180.04
  4. Step 4: Simplify right side
    1,888.64x = 3,074,523.42
  5. Step 5: Solve for x
    x = 3,074,523.42/1,888.64
  6. Step 6: Final answer
    x = 1,627.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.